10745403552 has 144 divisors (see below), whose sum is σ = 33372114048. Its totient is φ = 3259630080.

The previous prime is 10745403541. The next prime is 10745403589. The reversal of 10745403552 is 25530454701.

10745403552 is a `hidden beast` number, since 10 + 74 + 540 + 35 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 245613 + ... + 286035.

It is an arithmetic number, because the mean of its divisors is an integer number (231750792).

Almost surely, 2^10745403552 is an apocalyptic number.

10745403552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10745403552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16686057024).

10745403552 is an abundant number, since it is smaller than the sum of its proper divisors (22626710496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10745403552 is a wasteful number, since it uses less digits than its factorization.

10745403552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40523 (or 40512 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 10745403552 in words is "ten billion, seven hundred forty-five million, four hundred three thousand, five hundred fifty-two".